Unit 1 Test Review: Tools of Geometry

Front

What is a point in geometry?

Back

A point is a specific location in space that has no size or dimension, represented by a dot and usually labeled with a capital letter.

Front

How do you find the distance between two points (x1, y1) and (x2, y2)?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint of a segment between two points (x1, y1) and (x2, y2)?

Back

The midpoint is calculated as: ((x1 + x2)/2, (y1 + y2)/2).

Front

Calculate the distance between points A(4, 0) and B(-3, 5).

Back

The distance AB is 8.6.

Front

Calculate the midpoint of points A(-6, 14) and B(-10, 12).

Back

The midpoint is (-8, 13).

Front

What is the formula for the distance between two points in a coordinate plane?

Back

The formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

What does the term 'coordinate plane' refer to?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

What is the significance of the x and y coordinates in a point?

Back

The x-coordinate indicates the horizontal position, while the y-coordinate indicates the vertical position of the point in the coordinate plane.

Front

If point C is at (2, -4), what is the ordered pair representation?

Back

The ordered pair representation is (2, -4).

Front

What is the distance between points V(6, 4) and T(-5, -1)?

Back

The distance VT is 12.1.